Gravitational field and topography of Venus: static vs. dynamic models

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The gravitational field and topography of Venus are strongly correlated. In distinction to the Earth the correlation is significant not only at intermediate and short wavelengths but also at the long-wavelength part of the spectrum. Several studies have attempted to explain this fact by isostatic compensation of the surface topography (with a depth of compensation usually smaller than 50 km) while some others have argued for a dynamical origin of surface features. In the present study we examine the both concepts mentioned above using the most recent spherical harmonic models of topography (GTDR.3) and gravity (MGNP180U) of the planet. We show that these models are consistent with the concept of Airy isostasy at degrees greater than 40, with the apparent depth of compensation (ADC) around 35 km. At degrees 2-40 the ADC decreases more or less monotonously from 200 km to 40 km. This behavior cannot be explained by a simple model of Airy isostasy. The topography and gravity signals in this spectral interval can be, however, well predicted dynamically by a quasi steady-state model of thermal convection in the mantle of Venus. Assuming that the lateral distribution of the buoyancy force does not vary with depth (which roughly corresponds to a plume-like style of mantle convection) we obtain a very good agreement between the observed and predicted data. The best fit to the data is found for the profile in which the viscosity increases only weakly with depth.

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